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Simplifying (5w + 9z)(5w + 9z) = 0 Multiply (5w + 9z) * (5w + 9z) (5w * (5w + 9z) + 9z * (5w + 9z)) = 0 ((5w * 5w + 9z * 5w) + 9z * (5w + 9z)) = 0 Reorder the terms: ((45wz + 25w2) + 9z * (5w + 9z)) = 0 ((45wz + 25w2) + 9z * (5w + 9z)) = 0 (45wz + 25w2 + (5w * 9z + 9z * 9z)) = 0 (45wz + 25w2 + (45wz + 81z2)) = 0 Reorder the terms: (45wz + 45wz + 25w2 + 81z2) = 0 Combine like terms: 45wz + 45wz = 90wz (90wz + 25w2 + 81z2) = 0 Solving 90wz + 25w2 + 81z2 = 0 Solving for variable 'w'. Factor a trinomial. (5w + 9z)(5w + 9z) = 0Subproblem 1
Set the factor '(5w + 9z)' equal to zero and attempt to solve: Simplifying 5w + 9z = 0 Solving 5w + 9z = 0 Move all terms containing w to the left, all other terms to the right. Add '-9z' to each side of the equation. 5w + 9z + -9z = 0 + -9z Combine like terms: 9z + -9z = 0 5w + 0 = 0 + -9z 5w = 0 + -9z Remove the zero: 5w = -9z Divide each side by '5'. w = -1.8z Simplifying w = -1.8zSubproblem 2
Set the factor '(5w + 9z)' equal to zero and attempt to solve: Simplifying 5w + 9z = 0 Solving 5w + 9z = 0 Move all terms containing w to the left, all other terms to the right. Add '-9z' to each side of the equation. 5w + 9z + -9z = 0 + -9z Combine like terms: 9z + -9z = 0 5w + 0 = 0 + -9z 5w = 0 + -9z Remove the zero: 5w = -9z Divide each side by '5'. w = -1.8z Simplifying w = -1.8zSolution
w = {-1.8z, -1.8z}
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